Tensile test engineering stress-strain
User-supplied measurements and assumptions; Engineering stress=force/original area; engineering strain=extension/original gauge length.
Materials and structural laboratory measurements ↗Materials and structural laboratory measurements calculators
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Calculators
Tensile test true stress-strain
User-supplied measurements and assumptions; During uniform constant-volume deformation: true stress=engineering stress(1+engineering strain); true strain=ln(1+strain).
Materials and structural laboratory measurements ↗Young modulus regression window
User-supplied measurements and assumptions; Least-squares stress-versus-strain line over the supplied elastic window; user selects the physically valid window.
Materials and structural laboratory measurements ↗Offset yield strength extraction
User-supplied measurements and assumptions; First positive-to-nonpositive intersection of piecewise-linear stress curve with E(strain−offset); reject absent crossing.
Materials and structural laboratory measurements ↗Tensile ductility measures
User-supplied measurements and assumptions; Percent increase in gauge length and percent reduction from original area.
Materials and structural laboratory measurements ↗Rectangular compression nominal strength
User-supplied measurements and assumptions; Peak compression load / original rectangular loaded area; specimen shape and correction factors not inferred.
Materials and structural laboratory measurements ↗Flexural three-point test strength
User-supplied measurements and assumptions; Simply-supported rectangular beam, center point load: flexural surface stress=3PL/(2bd²).
Materials and structural laboratory measurements ↗Flexural four-point test reduction
User-supplied measurements and assumptions; Symmetric two-nose loading, total force P: σ=3Pa/(bd²); center deflection=Pa(3L²−4a²)/(48EI), I=bd³/12.
Materials and structural laboratory measurements ↗Cantilever tip deflection worksheet
User-supplied measurements and assumptions; Small-deflection Euler-Bernoulli cantilever: δ=PL³/(3EI), θ=PL²/(2EI).
Materials and structural laboratory measurements ↗Simply supported beam center deflection
User-supplied measurements and assumptions; Small-deflection Euler-Bernoulli simply-supported beam with one central point load.
Materials and structural laboratory measurements ↗Beam distributed-load reactions
User-supplied measurements and assumptions; Uniform load over full simply-supported span; V=R−wx and M=Rx−wx²/2.
Materials and structural laboratory measurements ↗Beam point-load reactions and moments
User-supplied measurements and assumptions; Moment equilibrium gives reactions; evaluate piecewise-linear moment at supports and load positions.
Materials and structural laboratory measurements ↗Rectangular-section centroid and inertia
User-supplied measurements and assumptions; Area-weighted centroid and parallel-axis theorem for supplied nonoverlapping rectangles; no union subtraction.
Materials and structural laboratory measurements ↗Composite transformed section
User-supplied measurements and assumptions; Transform each perfectly bonded linear-elastic layer by E/Ereference, then use centroid and parallel-axis theorem.
Materials and structural laboratory measurements ↗Euler column buckling worksheet
User-supplied measurements and assumptions; Ideal slender perfectly straight elastic column: Pcr=π²EI/(KL)²; no imperfection, local-buckling or design reduction.
Materials and structural laboratory measurements ↗Thin-wall torsion shear worksheet
User-supplied measurements and assumptions; Bredt thin-wall closed single-cell approximation q=T/(2Amedian), τ=q/t.
Materials and structural laboratory measurements ↗Circular shaft torsion angle
User-supplied measurements and assumptions; Uniform circular annulus: J=π(Do⁴−Di⁴)/32; twist=TL/GJ; outer shear=Tro/J.
Materials and structural laboratory measurements ↗Spring all-series and all-parallel stiffness
User-supplied measurements and assumptions; Ideal linear springs: parallel stiffnesses add; reciprocals add in series.
Materials and structural laboratory measurements ↗Fatigue cycle range counting
User-supplied measurements and assumptions; Turning-point three-point rainflow algorithm; closed internal cycles count 1 and open residuals count 0.5.
Materials and structural laboratory measurements ↗Miner supplied-life damage sum
User-supplied measurements and assumptions; Sum n/N for entered cycle counts and fatigue lives; 1−damage is a linear-model margin, not guaranteed remaining life.
Materials and structural laboratory measurements ↗Fracture stress-intensity worksheet
User-supplied measurements and assumptions; Linear-elastic mode-I K=Yσ√(πa), with crack convention absorbed into supplied Y.
Materials and structural laboratory measurements ↗Charpy impact energy normalization
User-supplied measurements and assumptions; Divide absorbed energy by supplied net ligament area; conversion 1 J/mm² =1000 kJ/m².
Materials and structural laboratory measurements ↗Vickers diagonal hardness
User-supplied measurements and assumptions; Vickers pyramid convention HV=0.1891×force N/(mean diagonal mm)²; nominal coefficient, test preparation external.
Materials and structural laboratory measurements ↗Thermal strain restraint worksheet
User-supplied measurements and assumptions; Free thermal strain=αΔT; stress=−EαΔT×supplied restraint fraction, tension positive.
Materials and structural laboratory measurements ↗Material supplied-range tolerance audit
User-supplied measurements and assumptions; Compare supplied properties against their matching acceptance ranges; no missing-property inference or certificate issued.
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